Atkin-Lehner |
2+ 3- 5+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
87360bv |
Isogeny class |
Conductor |
87360 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
178913280 = 217 · 3 · 5 · 7 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 0 13+ -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-232961,-43356321] |
[a1,a2,a3,a4,a6] |
j |
10667565439614722/1365 |
j-invariant |
L |
1.7384756015463 |
L(r)(E,1)/r! |
Ω |
0.21730944061135 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
16 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
87360en4 10920m3 |
Quadratic twists by: -4 8 |